exam Maths Puzzle Numerical Ability

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The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. Find the original number. On a monitor, the graphs of two impulses are recorded on the same screen, where 0 degress <=x<=360 degrees. The impulses are given by the following equations:
y=2sin^2 x (the "x"